Abstract : Considered is discrete two-person game theory where the players choose their strategies separately and independently. Payoffs can be of a very general nature and are not necessarily numbers. However, the totality of outcomes (pairs of payoffs), corresponding to the possible combinations of strategies, can be ranked separately by each player according to their desirability to that player. A method is given for determining outcomes and an optimum (mixed) strategy for each player. Practical aspects of applying this percentile game theory are examined. (Author)